0.28(3s-4)-5=0.13(5-2s)

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Solution for 0.28(3s-4)-5=0.13(5-2s) equation:


Simplifying
0.28(3s + -4) + -5 = 0.13(5 + -2s)

Reorder the terms:
0.28(-4 + 3s) + -5 = 0.13(5 + -2s)
(-4 * 0.28 + 3s * 0.28) + -5 = 0.13(5 + -2s)
(-1.12 + 0.84s) + -5 = 0.13(5 + -2s)

Reorder the terms:
-1.12 + -5 + 0.84s = 0.13(5 + -2s)

Combine like terms: -1.12 + -5 = -6.12
-6.12 + 0.84s = 0.13(5 + -2s)
-6.12 + 0.84s = (5 * 0.13 + -2s * 0.13)
-6.12 + 0.84s = (0.65 + -0.26s)

Solving
-6.12 + 0.84s = 0.65 + -0.26s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '0.26s' to each side of the equation.
-6.12 + 0.84s + 0.26s = 0.65 + -0.26s + 0.26s

Combine like terms: 0.84s + 0.26s = 1.1s
-6.12 + 1.1s = 0.65 + -0.26s + 0.26s

Combine like terms: -0.26s + 0.26s = 0.00
-6.12 + 1.1s = 0.65 + 0.00
-6.12 + 1.1s = 0.65

Add '6.12' to each side of the equation.
-6.12 + 6.12 + 1.1s = 0.65 + 6.12

Combine like terms: -6.12 + 6.12 = 0.00
0.00 + 1.1s = 0.65 + 6.12
1.1s = 0.65 + 6.12

Combine like terms: 0.65 + 6.12 = 6.77
1.1s = 6.77

Divide each side by '1.1'.
s = 6.154545455

Simplifying
s = 6.154545455

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